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Finding the Fourth Proportional to 835.57, 1,251.87 and 527.77

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Solution

The fourth proportional to 835.57, 1,251.87 and 527.77 is: 790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.57 : 1,251.87 = 527.77 : x
  2. Step 2: Convert to fraction form
    835.57/1,251.87 = 527.77/x
  3. Step 3: Cross multiply
    835.57x = 1,251.87 × 527.77
  4. Step 4: Simplify right side
    835.57x = 660,699.43
  5. Step 5: Solve for x
    x = 660,699.43/835.57
  6. Step 6: Final answer
    x = 790.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.